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Finding the Fourth Proportional to 9,308.17, 12,844.74 and 5,116.42

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Solution

The fourth proportional to 9,308.17, 12,844.74 and 5,116.42 is: 7,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.17 : 12,844.74 = 5,116.42 : x
  2. Step 2: Convert to fraction form
    9,308.17/12,844.74 = 5,116.42/x
  3. Step 3: Cross multiply
    9,308.17x = 12,844.74 × 5,116.42
  4. Step 4: Simplify right side
    9,308.17x = 65,719,084.63
  5. Step 5: Solve for x
    x = 65,719,084.63/9,308.17
  6. Step 6: Final answer
    x = 7,060.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.